2673002142720 has 2816 divisors, whose sum is σ = 12835849420800. Its totient is φ = 511306629120.

The previous prime is 2673002142697. The next prime is 2673002142721. The reversal of 2673002142720 is 272412003762.

It is a happy number.

2673002142720 is a `hidden beast` number, since 2 + 67 + 300 + 21 + 4 + 272 + 0 = 666.

2673002142720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2673002142720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673002142721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6201860905 + ... + 6201861335.

Almost surely, 2^{2673002142720} is an apocalyptic number.

2673002142720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2673002142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417924710400).

2673002142720 is an abundant number, since it is smaller than the sum of its proper divisors (10162847278080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2673002142720 is a wasteful number, since it uses less digits than its factorization.

2673002142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 2673002142720 in words is "two trillion, six hundred seventy-three billion, two million, one hundred forty-two thousand, seven hundred twenty".